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3 years ago

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A number in scientific notation will have a____ exponent when it is less than 1 (A) negative (B) reduced (C) positive (please an

swer)

1 answer:

castortr0y [4]3 years ago

7 0

Answer:

Negative.

Step-by-step explanation:

A negative exponent. For example, 0.025 in scientific notation is 2.5*10^-2.

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What is the 23rd term in the arithmetic sequence 11,14,17,20?

nikdorinn [45]

To find the next term in an arithmetic sequence, your best bet would be to use the formula N(x)= N(1) + (x-1)*d, where x stands for the term you want to find, N(1) stands for the first number in the sequence, and d stands for the common difference between the numbers.

First, lets see what we can plug in. We know the first term in the sequence (N(1)) is 11, we know that we want to find the 23rd number in the sequence (x), and by subtracting the 2nd term by the 1st term (14-11), the common difference (d) is 3. When we plug that all into our equation, it should end up looking something like this: N(23)= 11 + (23-1)*3.

Next, we can break down the equation to solve it step by step using PEMDAS. Parenthesis go first, so N(23)= 11 + (23-1)*3 becomes N(23)= 11 + (22)*3. We don't have any exponents, so we can skip the E. Next, we do multiplication and division from left to right, so N(23)= 11 + (22)*3 becomes N(23)= 11 + 66. Finally, we do addition and subtraction from left to right, getting us from N(23)= 11 + 66 to N(23)= 77, which means that the 23rd number in the sequence is 77!

7 0

3 years ago

A tile installer plots an irregular shape on grid paper. Each square on the grid represents 1 square centimeter. What is the are

Gelneren [198K]

Answer:

34cm²

Step-by-step explanation:

Find diagram in the attached file.

Since each square on the grid represent 1cm², the length of the each square will be 1cm

Area of the irregular shape can be gotten by breaking the irregular shape into three shapes which are the triangle, rectangle and a parallelogram.

Area of the irregular shape = area of triangle + area of rectangle + area of parallelogram

For TRIANGLE

Area of triangle = 1/2×base×height

Since the base of triangle is on 4square grid,

Base = 4cm

Height = 2cm

Area = 1/2×4×2

Area of ∆ = 4cm²

FOR RECTANGLE

Area of rectangle = Length ×Breadth

Length = 3cm

Breadth = 5cm

Area of the rectangular shape = 3×5

= 15cm²

FOR PARALLELOGRAM

Area of a parallelogram = Base × Height

Base = 5cm

Height = 3cm

Area = 5cm×3cm

Area = 15cm²

Area of the irregular shape = 4cm²+15cm²+15cm²

=34cm²

6 0

3 years ago

K=10t−19<br> Find the output, k, when the input, t is, -7.

aalyn [17]

K= 10(-7) -19
k= -70-19
k=-89

4 0

3 years ago

Help please quickly thank you so much

STALIN [3.7K]

Answer:

120 deg

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Choose two positive integers a and b, making sure that a<5 and b>80 . The width of a rectangular computer screen is a inch

qwelly [4]

Answer:

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

Step-by-step explanation:

$Height = H$

$Width = H + a$

$Area = Height x Width$

$b = H * (H + a)$

$b = H^{2} + aH$

$H^{2} + aH > 80$

$H^{2} + aH - 80 > 0$

a<5 means 'a' can be a = 1, 2, 3, 4

Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below

$H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}$

As 'a' and 'b' must be positive integers, H and W must be positive integers as well,

$a = 1, H = 8.46, H = -9.46$

$a = 2, H = 8, H = -10$

$a = 3, H = 7.57, H = -10.57$

$a = 4, H = 7.17, H = -11.17$

Based on above possible answers:

$a=2, H=8$

$W = H + a$

$W = 8 + 2$

$W = 10$

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

5 0

3 years ago